Antiderivative

homework 5
1. Compute the antiderivative of the following funcitons:
(a) x^(2/3) + x^(-1/3)
(b) x^2 exp (x^3)
(c) tan (2x)
(d) x^2/(1+x^3)
2. Compute the definite integrals:
(a) integrate x^2 + x over [0, 1]
(b) integrate sin(x/2) over [0, pi]
(c) integrate x/(1+x^2) over [0,1]
(d) integrate x exp(x^2) over [0,1]